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Эта публикация цитируется в 2 научных статьях (всего в 2 статьях)
Some properties of operator exponent
Lyudmila F. Korkina, Mark A. Rekant Ural Federal University,
51 Lenin aven., Ekaterinburg, Russia, 620000
Аннотация:
We study operators given by series, in particular, operators of the form $e^B=\sum\limits_{n=0}^{\infty}{B^n}/{n!},$ where $B$ is an operator acting in a Banach space $X$. A corresponding example is provided. In our future research, we will use these operators for introducing and studying functions of operators constructed (with the use of the Cauchy integral formula) on the basis of scalar functions and admitting a faster than power growth at infinity.
Ключевые слова:
Closed operator, Operator exponent, Multiplicative property.
Образец цитирования:
Lyudmila F. Korkina, Mark A. Rekant, “Some properties of operator exponent”, Ural Math. J., 4:2 (2018), 33–42
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/umj61 https://www.mathnet.ru/rus/umj/v4/i2/p33
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Страница аннотации: | 239 | PDF полного текста: | 511 | Список литературы: | 42 |
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